Finding the Third Proportional to 42,188 and 89,828

Step by Step Solution

1. Step 1: Write the proportion equation
   42,188 : 89,828 = 89,828 : x
2. Step 2: Convert to fraction form
   42,188/89,828 = 89,828/x
3. Step 3: Cross multiply
   42,188x = 89,828 × 89,828
4. Step 4: Simplify right side
   42,188x = 8,069,069,584
5. Step 5: Solve for x
   x = 8,069,069,584/42,188
6. Step 6: Final answer
   x = 191,264.57